A trace formula is given that simultaneously allows to obtain the Casimir operators of G (2) and the (Racah) labeling operators for generic irreducible representations. The labeling operators are shown to arise as traces operators induced by a matrix decomposition. The eigenvalue problem is analyzed for the fundamental representations of G (2).
机构:
Univ Sydney, Sch Math & Stat F07, Off Carslaw 827, Carslaw, NSW 2006, AustraliaUniv Sydney, Sch Math & Stat F07, Off Carslaw 827, Carslaw, NSW 2006, Australia